Respuesta :
[tex]\text {Number of ways = } \dfrac{24 \times 23 \times 22 \times 21}{4 \times 3 \times 2 \times 1} = \dfrac{255024}{24} = 10626[/tex]
Using the principle of combination, the number of ways of drawing 4 cards from a deck of 24 cards is 10626 ways
We use combination since the order of selection does not matter.
Recall :
nCr = n! ÷ (n - r)!r!
24C4 = 24! ÷ (24 - 4)!4!
24C4 = 24! ÷ 20!4!
24C4 = (24 × 23 × 22 × 21) ÷ (4 × 3 × 2 × 1)
24C4 = 10626 ways
Therefore, there are 10626 ways of drawing 4 cards from a total of 24.
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